On generalized localization of Fourier inversion for distributions

DOI10.1090/conm/672/13549zbMath1356.42006OpenAlexW4245885222MaRDI QIDQ3178917

Ravshan Ashurov, Almaz Butaev

Publication date: 20 December 2016

Published in: Topics in Functional Analysis and Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/672/13549

zbMATH Keywords

Fourier transformsummabilityFourier inversionspherical Fourier integrals

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Summability in several variables (42B08)

Related Items (3)

Generalized localization of Riesz means of spectral expansions of distributions ⋮ Generalized localization and summability almost everywhere of multiple Fourier series and integrals ⋮ Generalized localization principle for continuous wavelet decompositions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Almost-everywhere convergence of Fourier integrals for functions in Sobolev spaces, and an \(L^ 2\)-localisation principle
• The generalized localization for multiple Fourier integrals
• Regularity and integrability of spherical means
• Generalized localization of Fourier series with respect to the eigenfunctions of the Laplace operator in the classes \(L_ p\)
• Pointwise Fourier inversion and localisation in \(\mathbb{R}^n\)
• Fourier inversion of distributions supported by a hypersurface
• Distributional point values and convergence of Fourier series and integrals
• On analytic families of operators
• On the order of summability of the Fourier inversion formula
• Asymptotic Expansions of Fourier Integrals Involving Logarithmic Singularities
• PROBLEMS OF LOCALIZATION AND CONVERGENCE FOR FOURIER SERIES IN FUNDAMENTAL SYSTEMS OF FUNCTIONS OF THE LAPLACE OPERATOR
• On the support of tempered distributions
• On the support of tempered distributions
• Pointwise Fourier inversion of distributions with compact support

This page was built for publication: On generalized localization of Fourier inversion for distributions